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Finding the Fourth Proportional to 12,762.96, 19,129.86 and 6,924.48

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Solution

The fourth proportional to 12,762.96, 19,129.86 and 6,924.48 is: 10,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.96 : 19,129.86 = 6,924.48 : x
  2. Step 2: Convert to fraction form
    12,762.96/19,129.86 = 6,924.48/x
  3. Step 3: Cross multiply
    12,762.96x = 19,129.86 × 6,924.48
  4. Step 4: Simplify right side
    12,762.96x = 132,464,332.97
  5. Step 5: Solve for x
    x = 132,464,332.97/12,762.96
  6. Step 6: Final answer
    x = 10,378.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.